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Finding the Fourth Proportional to 10,369.62, 15,535.80 and 5,684.58

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Solution

The fourth proportional to 10,369.62, 15,535.80 and 5,684.58 is: 8,516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.62 : 15,535.80 = 5,684.58 : x
  2. Step 2: Convert to fraction form
    10,369.62/15,535.80 = 5,684.58/x
  3. Step 3: Cross multiply
    10,369.62x = 15,535.80 × 5,684.58
  4. Step 4: Simplify right side
    10,369.62x = 88,314,497.96
  5. Step 5: Solve for x
    x = 88,314,497.96/10,369.62
  6. Step 6: Final answer
    x = 8,516.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.